Question

In a section of horizontal pipe with a diameter of 4.0 cm, the pressure is 115 kPa and water is flowing with a speed of 1.5 m/s. The pipe narrows to a 3.0-cm diameter. What is the pressure in kPa in the narrower region? Treat the water as an ideal incompressible fluid.

Answer 1

v1 = 1.5 m/s

A1 =

P1 = 115 kPa

V2 = ?

A2 =

P2 = ?

d = density of water = 1000 kg/m^3

Applying Principle of Continuity :

A1*v1 = A2*v2

=> v2 = (A1*v1)/A2 =

Applying Bernoulli's Theorem between two ends :

[potential energy terms will be same as the pipe is horizontal, so they cancles each other]

[answer]